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Finding the Fourth Proportional to 200,348.64, 276,145.20 and 159,932.88

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Solution

The fourth proportional to 200,348.64, 276,145.20 and 159,932.88 is: 220,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,348.64 : 276,145.20 = 159,932.88 : x
  2. Step 2: Convert to fraction form
    200,348.64/276,145.20 = 159,932.88/x
  3. Step 3: Cross multiply
    200,348.64x = 276,145.20 × 159,932.88
  4. Step 4: Simplify right side
    200,348.64x = 44,164,697,134.18
  5. Step 5: Solve for x
    x = 44,164,697,134.18/200,348.64
  6. Step 6: Final answer
    x = 220,439.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.